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Finding the Fourth Proportional to 83,402.37, 115,066.71 and 47,566.62

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Solution

The fourth proportional to 83,402.37, 115,066.71 and 47,566.62 is: 65,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,402.37 : 115,066.71 = 47,566.62 : x
  2. Step 2: Convert to fraction form
    83,402.37/115,066.71 = 47,566.62/x
  3. Step 3: Cross multiply
    83,402.37x = 115,066.71 × 47,566.62
  4. Step 4: Simplify right side
    83,402.37x = 5,473,334,469.22
  5. Step 5: Solve for x
    x = 5,473,334,469.22/83,402.37
  6. Step 6: Final answer
    x = 65,625.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.